Moving lapack to right place

1 files changed, 0 insertions, 287 deletions

diff --git a/src/lib/lapack/dlagv2.f b/src/lib/lapack/dlagv2.f
deleted file mode 100644
index 15bcb0b9..00000000
--- a/src/lib/lapack/dlagv2.f
+++ /dev/null
@@ -1,287 +0,0 @@
-      SUBROUTINE DLAGV2( A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, CSL, SNL,
-     $                   CSR, SNR )
-*
-*  -- LAPACK auxiliary routine (version 3.1) --
-*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
-*     November 2006
-*
-*     .. Scalar Arguments ..
-      INTEGER            LDA, LDB
-      DOUBLE PRECISION   CSL, CSR, SNL, SNR
-*     ..
-*     .. Array Arguments ..
-      DOUBLE PRECISION   A( LDA, * ), ALPHAI( 2 ), ALPHAR( 2 ),
-     $                   B( LDB, * ), BETA( 2 )
-*     ..
-*
-*  Purpose
-*  =======
-*
-*  DLAGV2 computes the Generalized Schur factorization of a real 2-by-2
-*  matrix pencil (A,B) where B is upper triangular. This routine
-*  computes orthogonal (rotation) matrices given by CSL, SNL and CSR,
-*  SNR such that
-*
-*  1) if the pencil (A,B) has two real eigenvalues (include 0/0 or 1/0
-*     types), then
-*
-*     [ a11 a12 ] := [  CSL  SNL ] [ a11 a12 ] [  CSR -SNR ]
-*     [  0  a22 ]    [ -SNL  CSL ] [ a21 a22 ] [  SNR  CSR ]
-*
-*     [ b11 b12 ] := [  CSL  SNL ] [ b11 b12 ] [  CSR -SNR ]
-*     [  0  b22 ]    [ -SNL  CSL ] [  0  b22 ] [  SNR  CSR ],
-*
-*  2) if the pencil (A,B) has a pair of complex conjugate eigenvalues,
-*     then
-*
-*     [ a11 a12 ] := [  CSL  SNL ] [ a11 a12 ] [  CSR -SNR ]
-*     [ a21 a22 ]    [ -SNL  CSL ] [ a21 a22 ] [  SNR  CSR ]
-*
-*     [ b11  0  ] := [  CSL  SNL ] [ b11 b12 ] [  CSR -SNR ]
-*     [  0  b22 ]    [ -SNL  CSL ] [  0  b22 ] [  SNR  CSR ]
-*
-*     where b11 >= b22 > 0.
-*
-*
-*  Arguments
-*  =========
-*
-*  A       (input/output) DOUBLE PRECISION array, dimension (LDA, 2)
-*          On entry, the 2 x 2 matrix A.
-*          On exit, A is overwritten by the ``A-part'' of the
-*          generalized Schur form.
-*
-*  LDA     (input) INTEGER
-*          THe leading dimension of the array A.  LDA >= 2.
-*
-*  B       (input/output) DOUBLE PRECISION array, dimension (LDB, 2)
-*          On entry, the upper triangular 2 x 2 matrix B.
-*          On exit, B is overwritten by the ``B-part'' of the
-*          generalized Schur form.
-*
-*  LDB     (input) INTEGER
-*          THe leading dimension of the array B.  LDB >= 2.
-*
-*  ALPHAR  (output) DOUBLE PRECISION array, dimension (2)
-*  ALPHAI  (output) DOUBLE PRECISION array, dimension (2)
-*  BETA    (output) DOUBLE PRECISION array, dimension (2)
-*          (ALPHAR(k)+i*ALPHAI(k))/BETA(k) are the eigenvalues of the
-*          pencil (A,B), k=1,2, i = sqrt(-1).  Note that BETA(k) may
-*          be zero.
-*
-*  CSL     (output) DOUBLE PRECISION
-*          The cosine of the left rotation matrix.
-*
-*  SNL     (output) DOUBLE PRECISION
-*          The sine of the left rotation matrix.
-*
-*  CSR     (output) DOUBLE PRECISION
-*          The cosine of the right rotation matrix.
-*
-*  SNR     (output) DOUBLE PRECISION
-*          The sine of the right rotation matrix.
-*
-*  Further Details
-*  ===============
-*
-*  Based on contributions by
-*     Mark Fahey, Department of Mathematics, Univ. of Kentucky, USA
-*
-*  =====================================================================
-*
-*     .. Parameters ..
-      DOUBLE PRECISION   ZERO, ONE
-      PARAMETER          ( ZERO = 0.0D+0, ONE = 1.0D+0 )
-*     ..
-*     .. Local Scalars ..
-      DOUBLE PRECISION   ANORM, ASCALE, BNORM, BSCALE, H1, H2, H3, QQ,
-     $                   R, RR, SAFMIN, SCALE1, SCALE2, T, ULP, WI, WR1,
-     $                   WR2
-*     ..
-*     .. External Subroutines ..
-      EXTERNAL           DLAG2, DLARTG, DLASV2, DROT
-*     ..
-*     .. External Functions ..
-      DOUBLE PRECISION   DLAMCH, DLAPY2
-      EXTERNAL           DLAMCH, DLAPY2
-*     ..
-*     .. Intrinsic Functions ..
-      INTRINSIC          ABS, MAX
-*     ..
-*     .. Executable Statements ..
-*
-      SAFMIN = DLAMCH( 'S' )
-      ULP = DLAMCH( 'P' )
-*
-*     Scale A
-*
-      ANORM = MAX( ABS( A( 1, 1 ) )+ABS( A( 2, 1 ) ),
-     $        ABS( A( 1, 2 ) )+ABS( A( 2, 2 ) ), SAFMIN )
-      ASCALE = ONE / ANORM
-      A( 1, 1 ) = ASCALE*A( 1, 1 )
-      A( 1, 2 ) = ASCALE*A( 1, 2 )
-      A( 2, 1 ) = ASCALE*A( 2, 1 )
-      A( 2, 2 ) = ASCALE*A( 2, 2 )
-*
-*     Scale B
-*
-      BNORM = MAX( ABS( B( 1, 1 ) ), ABS( B( 1, 2 ) )+ABS( B( 2, 2 ) ),
-     $        SAFMIN )
-      BSCALE = ONE / BNORM
-      B( 1, 1 ) = BSCALE*B( 1, 1 )
-      B( 1, 2 ) = BSCALE*B( 1, 2 )
-      B( 2, 2 ) = BSCALE*B( 2, 2 )
-*
-*     Check if A can be deflated
-*
-      IF( ABS( A( 2, 1 ) ).LE.ULP ) THEN
-         CSL = ONE
-         SNL = ZERO
-         CSR = ONE
-         SNR = ZERO
-         A( 2, 1 ) = ZERO
-         B( 2, 1 ) = ZERO
-*
-*     Check if B is singular
-*
-      ELSE IF( ABS( B( 1, 1 ) ).LE.ULP ) THEN
-         CALL DLARTG( A( 1, 1 ), A( 2, 1 ), CSL, SNL, R )
-         CSR = ONE
-         SNR = ZERO
-         CALL DROT( 2, A( 1, 1 ), LDA, A( 2, 1 ), LDA, CSL, SNL )
-         CALL DROT( 2, B( 1, 1 ), LDB, B( 2, 1 ), LDB, CSL, SNL )
-         A( 2, 1 ) = ZERO
-         B( 1, 1 ) = ZERO
-         B( 2, 1 ) = ZERO
-*
-      ELSE IF( ABS( B( 2, 2 ) ).LE.ULP ) THEN
-         CALL DLARTG( A( 2, 2 ), A( 2, 1 ), CSR, SNR, T )
-         SNR = -SNR
-         CALL DROT( 2, A( 1, 1 ), 1, A( 1, 2 ), 1, CSR, SNR )
-         CALL DROT( 2, B( 1, 1 ), 1, B( 1, 2 ), 1, CSR, SNR )
-         CSL = ONE
-         SNL = ZERO
-         A( 2, 1 ) = ZERO
-         B( 2, 1 ) = ZERO
-         B( 2, 2 ) = ZERO
-*
-      ELSE
-*
-*        B is nonsingular, first compute the eigenvalues of (A,B)
-*
-         CALL DLAG2( A, LDA, B, LDB, SAFMIN, SCALE1, SCALE2, WR1, WR2,
-     $               WI )
-*
-         IF( WI.EQ.ZERO ) THEN
-*
-*           two real eigenvalues, compute s*A-w*B
-*
-            H1 = SCALE1*A( 1, 1 ) - WR1*B( 1, 1 )
-            H2 = SCALE1*A( 1, 2 ) - WR1*B( 1, 2 )
-            H3 = SCALE1*A( 2, 2 ) - WR1*B( 2, 2 )
-*
-            RR = DLAPY2( H1, H2 )
-            QQ = DLAPY2( SCALE1*A( 2, 1 ), H3 )
-*
-            IF( RR.GT.QQ ) THEN
-*
-*              find right rotation matrix to zero 1,1 element of
-*              (sA - wB)
-*
-               CALL DLARTG( H2, H1, CSR, SNR, T )
-*
-            ELSE
-*
-*              find right rotation matrix to zero 2,1 element of
-*              (sA - wB)
-*
-               CALL DLARTG( H3, SCALE1*A( 2, 1 ), CSR, SNR, T )
-*
-            END IF
-*
-            SNR = -SNR
-            CALL DROT( 2, A( 1, 1 ), 1, A( 1, 2 ), 1, CSR, SNR )
-            CALL DROT( 2, B( 1, 1 ), 1, B( 1, 2 ), 1, CSR, SNR )
-*
-*           compute inf norms of A and B
-*
-            H1 = MAX( ABS( A( 1, 1 ) )+ABS( A( 1, 2 ) ),
-     $           ABS( A( 2, 1 ) )+ABS( A( 2, 2 ) ) )
-            H2 = MAX( ABS( B( 1, 1 ) )+ABS( B( 1, 2 ) ),
-     $           ABS( B( 2, 1 ) )+ABS( B( 2, 2 ) ) )
-*
-            IF( ( SCALE1*H1 ).GE.ABS( WR1 )*H2 ) THEN
-*
-*              find left rotation matrix Q to zero out B(2,1)
-*
-               CALL DLARTG( B( 1, 1 ), B( 2, 1 ), CSL, SNL, R )
-*
-            ELSE
-*
-*              find left rotation matrix Q to zero out A(2,1)
-*
-               CALL DLARTG( A( 1, 1 ), A( 2, 1 ), CSL, SNL, R )
-*
-            END IF
-*
-            CALL DROT( 2, A( 1, 1 ), LDA, A( 2, 1 ), LDA, CSL, SNL )
-            CALL DROT( 2, B( 1, 1 ), LDB, B( 2, 1 ), LDB, CSL, SNL )
-*
-            A( 2, 1 ) = ZERO
-            B( 2, 1 ) = ZERO
-*
-         ELSE
-*
-*           a pair of complex conjugate eigenvalues
-*           first compute the SVD of the matrix B
-*
-            CALL DLASV2( B( 1, 1 ), B( 1, 2 ), B( 2, 2 ), R, T, SNR,
-     $                   CSR, SNL, CSL )
-*
-*           Form (A,B) := Q(A,B)Z' where Q is left rotation matrix and
-*           Z is right rotation matrix computed from DLASV2
-*
-            CALL DROT( 2, A( 1, 1 ), LDA, A( 2, 1 ), LDA, CSL, SNL )
-            CALL DROT( 2, B( 1, 1 ), LDB, B( 2, 1 ), LDB, CSL, SNL )
-            CALL DROT( 2, A( 1, 1 ), 1, A( 1, 2 ), 1, CSR, SNR )
-            CALL DROT( 2, B( 1, 1 ), 1, B( 1, 2 ), 1, CSR, SNR )
-*
-            B( 2, 1 ) = ZERO
-            B( 1, 2 ) = ZERO
-*
-         END IF
-*
-      END IF
-*
-*     Unscaling
-*
-      A( 1, 1 ) = ANORM*A( 1, 1 )
-      A( 2, 1 ) = ANORM*A( 2, 1 )
-      A( 1, 2 ) = ANORM*A( 1, 2 )
-      A( 2, 2 ) = ANORM*A( 2, 2 )
-      B( 1, 1 ) = BNORM*B( 1, 1 )
-      B( 2, 1 ) = BNORM*B( 2, 1 )
-      B( 1, 2 ) = BNORM*B( 1, 2 )
-      B( 2, 2 ) = BNORM*B( 2, 2 )
-*
-      IF( WI.EQ.ZERO ) THEN
-         ALPHAR( 1 ) = A( 1, 1 )
-         ALPHAR( 2 ) = A( 2, 2 )
-         ALPHAI( 1 ) = ZERO
-         ALPHAI( 2 ) = ZERO
-         BETA( 1 ) = B( 1, 1 )
-         BETA( 2 ) = B( 2, 2 )
-      ELSE
-         ALPHAR( 1 ) = ANORM*WR1 / SCALE1 / BNORM
-         ALPHAI( 1 ) = ANORM*WI / SCALE1 / BNORM
-         ALPHAR( 2 ) = ALPHAR( 1 )
-         ALPHAI( 2 ) = -ALPHAI( 1 )
-         BETA( 1 ) = ONE
-         BETA( 2 ) = ONE
-      END IF
-*
-      RETURN
-*
-*     End of DLAGV2
-*
-      END